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Finding the Fourth Proportional to 312,311.71, 430,986.58 and 169,068.61

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Solution

The fourth proportional to 312,311.71, 430,986.58 and 169,068.61 is: 233,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,311.71 : 430,986.58 = 169,068.61 : x
  2. Step 2: Convert to fraction form
    312,311.71/430,986.58 = 169,068.61/x
  3. Step 3: Cross multiply
    312,311.71x = 430,986.58 × 169,068.61
  4. Step 4: Simplify right side
    312,311.71x = 72,866,302,009.25
  5. Step 5: Solve for x
    x = 72,866,302,009.25/312,311.71
  6. Step 6: Final answer
    x = 233,312.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.